Twisted Blanchfield pairings and twisted signatures III: Applications
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917614279720960 |
|---|---|
| author | Borodzik, Maciej Conway, Anthony Politarczyk, Wojciech |
| author_facet | Borodzik, Maciej Conway, Anthony Politarczyk, Wojciech |
| contents | This paper describes how to compute algorithmically certain twisted signature invariants of a knot $K$ using twisted Blanchfield forms. An illustration of the algorithm is implemented on $(2,q)$-torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_10631 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Twisted Blanchfield pairings and twisted signatures III: Applications Borodzik, Maciej Conway, Anthony Politarczyk, Wojciech Geometric Topology 57K10 This paper describes how to compute algorithmically certain twisted signature invariants of a knot $K$ using twisted Blanchfield forms. An illustration of the algorithm is implemented on $(2,q)$-torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots. |
| title | Twisted Blanchfield pairings and twisted signatures III: Applications |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2111.10631 |